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From Wikipedia:

"Stronger forms of Dirichlet's theorem state that, for any arithmetic progression, the sum of the reciprocals of the prime numbers in the progression diverges."

Can anyone direct me to a proof of this "stronger" fact, or a paper that discusses it? Thanks.

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    $\begingroup$ The standard proof of Dirichlet's theorem proves this. $\endgroup$ – Qiaochu Yuan May 28 '13 at 2:43
  • $\begingroup$ @QiaochuYuan : good point, just scanned a couple of the standard proofs online. thanks. $\endgroup$ – Coffee_Table May 28 '13 at 3:03
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You can find a proof in Serre's A Course in Arithmetic, chapter 6.

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